{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# This notebook is using the Iris Dataset via unsupervised learning to see how the algorithm will learn\n", "\n", "## At the end, the result should be trying to classify the iris types\n", "### Given the iris dataset, if we knew that there were k types of iris, but did not have access to a taxonomist to label them: we could try a clustering task: split the observations into well-separated group called clusters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Done by: Brian Tham
\n", "Check out my other projects on [briantham.com](https://briantham.com)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "_cell_guid": "b1076dfc-b9ad-4769-8c92-a6c4dae69d19", "_uuid": "8f2839f25d086af736a60e9eeb907d3b93b6e0e5" }, "outputs": [], "source": [ "import numpy as np # linear algebra\n", "import pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\n", "from sklearn import datasets\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "_cell_guid": "79c7e3d0-c299-4dcb-8224-4455121ee9b0", "_uuid": "d629ff2d2480ee46fbb7e2d37f6b5fab8052498a" }, "outputs": [], "source": [ "df = pd.read_csv('iris_data.csv', header = None)#need to have iris_data.csv in folder\n", "df.columns = ['SepalLengthCm','SepalWidthCm','PetalLengthCm', 'PetalWidthCm', 'species'] \n", "#introduce columns headers to the dataset" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "_uuid": "c2a528ba16b0e120bfdd6c41937469cc9d155f20" }, "outputs": [ { "data": { "text/html": [ "
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SepalLengthCmSepalWidthCmPetalLengthCmPetalWidthCmspecies
05.13.51.40.2Iris-setosa
14.93.01.40.2Iris-setosa
24.73.21.30.2Iris-setosa
34.63.11.50.2Iris-setosa
45.03.61.40.2Iris-setosa
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" ], "text/plain": [ " SepalLengthCm SepalWidthCm PetalLengthCm PetalWidthCm species\n", "0 5.1 3.5 1.4 0.2 Iris-setosa\n", "1 4.9 3.0 1.4 0.2 Iris-setosa\n", "2 4.7 3.2 1.3 0.2 Iris-setosa\n", "3 4.6 3.1 1.5 0.2 Iris-setosa\n", "4 5.0 3.6 1.4 0.2 Iris-setosa" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head() # first 5 rows" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "_uuid": "d592551949d7496e4473e6063225c7efe3a2fb80" }, "outputs": [ { "data": { "text/html": [ "
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SepalLengthCmSepalWidthCmPetalLengthCmPetalWidthCmspecies
1456.73.05.22.3Iris-virginica
1466.32.55.01.9Iris-virginica
1476.53.05.22.0Iris-virginica
1486.23.45.42.3Iris-virginica
1495.93.05.11.8Iris-virginica
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" ], "text/plain": [ " SepalLengthCm SepalWidthCm PetalLengthCm PetalWidthCm species\n", "145 6.7 3.0 5.2 2.3 Iris-virginica\n", "146 6.3 2.5 5.0 1.9 Iris-virginica\n", "147 6.5 3.0 5.2 2.0 Iris-virginica\n", "148 6.2 3.4 5.4 2.3 Iris-virginica\n", "149 5.9 3.0 5.1 1.8 Iris-virginica" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.tail() # last 5 rows" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "_uuid": "089f454d2710935c5e0e15623e1a53b19ae7d810" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 150 entries, 0 to 149\n", "Data columns (total 5 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 SepalLengthCm 150 non-null float64\n", " 1 SepalWidthCm 150 non-null float64\n", " 2 PetalLengthCm 150 non-null float64\n", " 3 PetalWidthCm 150 non-null float64\n", " 4 species 150 non-null object \n", "dtypes: float64(4), object(1)\n", "memory usage: 6.0+ KB\n" ] } ], "source": [ "df.info() # all non-null and numeric [except the labels]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "_uuid": "917e084a0c14c9af3f20e940ebf02b4a5fffc85b" }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import seaborn as sns" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "_uuid": "07727ed398f521e694b9f3e661aecb58e00df043", "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.pairplot(data=df,hue=\"species\",palette=\"Set2\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Graph above shows the spread of features of the flowers. \n", "### As you can see, some patterns are begining to emerge\n", "\n", "#### And you also notice that there is one group of data that can easily be differentiated from the rest, and that is the sestosa" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "_uuid": "12e1845fc937277479fbf2567572ea5ec9f032f2" }, "outputs": [], "source": [ "#Remove labels\n", "features = df.loc[:,[\"SepalLengthCm\",\"SepalWidthCm\",\"PetalLengthCm\",\"PetalWidthCm\"]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## KMeans clustering" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "_uuid": "2a8729873c6fd6cf03652b98a7e6d1e78c3eba02" }, "outputs": [], "source": [ "from sklearn.cluster import KMeans\n", "kmeans = KMeans(n_clusters=99) \n", "#I used 99 clusters as a random number, you can use any number you like" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "_uuid": "353179d5eb554676b9e8a18cc2c7c477082993ae", "scrolled": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.cluster import KMeans\n", "wcss = []\n", "\n", "for k in range(1,15):\n", " kmeans = KMeans(n_clusters=k)\n", " kmeans.fit(features)\n", " wcss.append(kmeans.inertia_)\n", "\n", "\n", "plt.figure(figsize=(20,8))\n", "plt.title(\"WCSS / K Chart\", fontsize=18)\n", "plt.plot(range(1,15),wcss,\"-o\")\n", "plt.grid(True)\n", "plt.xlabel(\"Amount of Clusters\",fontsize=14)\n", "plt.ylabel(\"Inertia\",fontsize=14)\n", "plt.xticks(range(1,20))\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": { "_uuid": "41b9e84e6642ca07d2f1925dd6e3f5f7451598a9" }, "source": [ "### I will be using an elbow rule on the above graph to determine the best number of clusters, for the elbow rule, you are looking for a elbow like shape, which occurs around the number 2 and 3\n", "\n", "#### **3 or 2** seems to be our best values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Check if the cluster is best between 2 and 3" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "_uuid": "077da0f8ce81a668937bb6c09902ec401834fe46" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(24,4))\n", "\n", "plt.suptitle(\"K Means Clustering\",fontsize=20)\n", "\n", "\n", "plt.subplot(1,5,1)\n", "plt.title(\"K = 1\",fontsize=16)\n", "plt.xlabel(\"PetalLengthCm\")\n", "plt.ylabel(\"PetalWidthCm\")\n", "plt.scatter(features.PetalLengthCm,features.PetalWidthCm)\n", "\n", "\n", "plt.subplot(1,5,2)\n", "plt.title(\"K = 2\",fontsize=16)\n", "plt.xlabel(\"PetalLengthCm\")\n", "kmeans = KMeans(n_clusters=2)\n", "features[\"labels\"] = kmeans.fit_predict(features)\n", "plt.scatter(features.PetalLengthCm[features.labels == 0],features.PetalWidthCm[features.labels == 0])\n", "plt.scatter(features.PetalLengthCm[features.labels == 1],features.PetalWidthCm[features.labels == 1])\n", "\n", "# I drop labels since I only want to use features.\n", "features.drop([\"labels\"],axis=1,inplace=True)\n", "\n", "plt.subplot(1,5,4)\n", "plt.title(\"K = 3\",fontsize=16)\n", "plt.xlabel(\"PetalLengthCm\")\n", "kmeans = KMeans(n_clusters=3)\n", "features[\"labels\"] = kmeans.fit_predict(features)\n", "plt.scatter(features.PetalLengthCm[features.labels == 0],features.PetalWidthCm[features.labels == 0])\n", "plt.scatter(features.PetalLengthCm[features.labels == 1],features.PetalWidthCm[features.labels == 1])\n", "plt.scatter(features.PetalLengthCm[features.labels == 2],features.PetalWidthCm[features.labels == 2])\n", "\n", "# I drop labels since I only want to use features.\n", "features.drop([\"labels\"],axis=1,inplace=True)\n", "\n", "plt.subplot(1,5,3)\n", "plt.title(\"K = 4\",fontsize=16)\n", "plt.xlabel(\"PetalLengthCm\")\n", "kmeans = KMeans(n_clusters=4)\n", "features[\"labels\"] = kmeans.fit_predict(features)\n", "plt.scatter(features.PetalLengthCm[features.labels == 0],features.PetalWidthCm[features.labels == 0])\n", "plt.scatter(features.PetalLengthCm[features.labels == 1],features.PetalWidthCm[features.labels == 1])\n", "plt.scatter(features.PetalLengthCm[features.labels == 2],features.PetalWidthCm[features.labels == 2])\n", "plt.scatter(features.PetalLengthCm[features.labels == 3],features.PetalWidthCm[features.labels == 3])\n", "\n", "# I drop labels since I only want to use features.\n", "features.drop([\"labels\"],axis=1,inplace=True)\n", "\n", "plt.subplot(1,5,5)\n", "plt.title(\"Original Labels\",fontsize=16)\n", "plt.xlabel(\"PetalLengthCm\")\n", "plt.scatter(df.PetalLengthCm[df.species == \"Iris-setosa\"],df.PetalWidthCm[df.species == \"Iris-setosa\"])\n", "plt.scatter(df.PetalLengthCm[df.species == \"Iris-versicolor\"],df.PetalWidthCm[df.species == \"Iris-versicolor\"])\n", "plt.scatter(df.PetalLengthCm[df.species == \"Iris-virginica\"],df.PetalWidthCm[df.species == \"Iris-virginica\"])\n", "\n", "plt.subplots_adjust(top=0.8)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "_uuid": "d1172fe4642d8eb4ebc588a728fcf98a3552e524" }, "source": [ "### Kmeans visibly did an amazing job with **3** clusters. Except few data points, I can say prediction is identical to the original with labels. Which shows that our elbow chart was right.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Hierarchical Clustering" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "_uuid": "82c5fb690f9a01ed9539a378dd786a23d002b7d9" }, "outputs": [], "source": [ "from sklearn.cluster import AgglomerativeClustering\n", "hc_cluster = AgglomerativeClustering(n_clusters=99) " ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "_uuid": "8b3b17aac844624253c2b9ff47576c8fdff45b06", "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(24,4))\n", "\n", "plt.suptitle(\"Hierarchical Clustering\",fontsize=20)\n", "\n", "plt.subplot(1,5,1)\n", "plt.title(\"K = 1\",fontsize=16)\n", "plt.xlabel(\"PetalLengthCm\")\n", "plt.ylabel(\"PetalWidthCm\")\n", "plt.scatter(features.SepalLengthCm,features.SepalWidthCm)\n", "\n", "\n", "plt.subplot(1,5,2)\n", "plt.title(\"K = 2\",fontsize=16)\n", "plt.xlabel(\"PetalLengthCm\")\n", "hc_cluster = AgglomerativeClustering(n_clusters=2)\n", "features[\"labels\"] = hc_cluster.fit_predict(features)\n", "plt.scatter(features.SepalLengthCm[features.labels == 0],features.SepalWidthCm[features.labels == 0])\n", "plt.scatter(features.SepalLengthCm[features.labels == 1],features.SepalWidthCm[features.labels == 1])\n", "\n", "# I drop labels since we only want to use features.\n", "features.drop([\"labels\"],axis=1,inplace=True)\n", "\n", "plt.subplot(1,5,3)\n", "plt.title(\"K = 4\",fontsize=16)\n", "plt.xlabel(\"PetalLengthCm\")\n", "hc_cluster = AgglomerativeClustering(n_clusters=4)\n", "features[\"labels\"] = hc_cluster.fit_predict(features)\n", "plt.scatter(features.SepalLengthCm[features.labels == 0],features.SepalWidthCm[features.labels == 0])\n", "plt.scatter(features.SepalLengthCm[features.labels == 1],features.SepalWidthCm[features.labels == 1])\n", "plt.scatter(features.SepalLengthCm[features.labels == 2],features.SepalWidthCm[features.labels == 2])\n", "plt.scatter(features.SepalLengthCm[features.labels == 3],features.SepalWidthCm[features.labels == 3])\n", "\n", "# I drop labels since we only want to use features.\n", "features.drop([\"labels\"],axis=1,inplace=True)\n", "\n", "plt.subplot(1,5,4)\n", "plt.title(\"K = 3\",fontsize=16)\n", "plt.xlabel(\"PetalLengthCm\")\n", "hc_cluster = AgglomerativeClustering(n_clusters=3)\n", "features[\"labels\"] = hc_cluster.fit_predict(features)\n", "plt.scatter(features.SepalLengthCm[features.labels == 0],features.SepalWidthCm[features.labels == 0])\n", "plt.scatter(features.SepalLengthCm[features.labels == 1],features.SepalWidthCm[features.labels == 1])\n", "plt.scatter(features.SepalLengthCm[features.labels == 2],features.SepalWidthCm[features.labels == 2])\n", "\n", "\n", "plt.subplot(1,5,5)\n", "plt.title(\"Original Labels\",fontsize=16)\n", "plt.xlabel(\"PetalLengthCm\")\n", "plt.scatter(df.SepalLengthCm[df.species == \"Iris-setosa\"],df.SepalWidthCm[df.species == \"Iris-setosa\"])\n", "plt.scatter(df.SepalLengthCm[df.species == \"Iris-versicolor\"],df.SepalWidthCm[df.species == \"Iris-versicolor\"])\n", "plt.scatter(df.SepalLengthCm[df.species == \"Iris-virginica\"],df.SepalWidthCm[df.species == \"Iris-virginica\"])\n", "\n", "plt.subplots_adjust(top=0.8)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### This graphs shows that 3 clusters is the best for our dataset" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "_uuid": "4826b560dfc8a1ac45a121fcc08db40978c39b35", "scrolled": false }, "outputs": [ { "data": { "image/png": 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wxz5weJ51q+rWqlpzxLk3H/b4yz4ILxMwwwlogZnuDUn+NcmzW2tnj9p3TJKXVdUyVfWYJKsk+enCnVU1K8mJSX6Z5OFJnp3krVX1/OGQ+UnelmStJFsN979x1DVelGTLJE9M8tIkC4/91yTfTrJ6kvWT/Pv9fqYAANDXm5PsnGTrJOsluSGDT7GNtHWSx+QvffE3k2ycZJ0kP0/yhVHjX5HkkAx69dOTfCjJ5kmelmSNJAckWTBi/DOSbJJBb35QVT2mtXZVktMy6McXelWS/26t3bVkTxVg8gS0wEz33CQ/SXLuGPsuS3J+kudkMJP2c6P2b5lk7dbawa21O1trf0jy6SQvS5LW2s9aaz9prd3dWrsoyX9m0HCO9P7W2o2ttUuSnJrkb4fb70qyYZL1Wmu3t9ZOv79PFAAApshXh58au7Gqbkxy+DjjXpfkwNbaZa21O5L8S5KXjFrO4F9aa7e01m5Lktbaf7XWbh4x/olVtdqI8V9rrZ3RWluQ5M4keyV5S2vt8tba/Nbaj4bHLvTe1tptrbVfZjDR4onD7Z/NIJRduFTCyzP4RB3AlBPQAjPd65M8OslnFi4vMMrnkuyRQYN2zKh9GyZZb1Qz+u4kc5Kkqh5dVd8YfiTrpiSHZjCbdqSrRvx8a5KVhz8fkKSSnDm88+1eS/wMAQBgau3cWnvowq/c91NjC22Y5IQRvfN5GXzqbM6IMZcu/GH4Sbb3D5dEuCnJRcNda401frh9hSQXTlDreP3315I8tqoemcEkjj+11s6c4DwADxgBLTDTXZ3Bx5uembH/0v+VDG4c9ofW2sWj9l2a5I8jm9HW2iqtte2H+z+Z5LdJNm6trZpBeDtWCHwfrbWrWmv7tNbWy2CmweFVNXexnx0AAEwflyZ5waj+eYXW2uUjxrQRP78iyU4ZfKJttSQbDbfXOOOvTXJ7kkctbmGttduTHJfklUleHbNngQeRgBaY8VprVyR5VpLtquqjo/bdMtz32jEOPTPJTVX1juHNCJapqsdV1ZbD/askuSnJn6tq0wzWu52UqtqtqtYfPrwhg8Zz/mI9MQAAmF4+leSQqtowSapq7araaYLxqyS5I8l1SVbM4BNp4xouc/BfST4yvJnvMlW1VVUtP8n6Fn56bsfc99NzAFNGQAuQpLV2aQZB7EuS/NuofWe31u7zManW2vwkO2SwbuwfM/iL/Wcy+Ot+kuyfwV/9b85gbdpjF6OkLZP8tKr+nOTrGayj9cfFeU4AADDNfCyD3vbbVXVzBveCeMoE4z+X5OIklyf5zXD8ouyfwf0lzkpyfZLDMsnso7V2RgY3FPv58B4SAA+Kaq0tehQAAADAX7mq+l6SL7bWPtO7FmDmENACAAAAM95wqbLvJNmgtXZz73qAmcMSBwAAAMCMVlWfTfLdJG8VzgIPNjNoAQAAAAA6MYMWAAAAAKCT2b0LGM/td8fUXpiE1bc+sHcJsFQ46ch/7F0CLBWetema1bsGpp5eGxZt9aft37sEWCqccNQ7epcAS4XtNlt73D7bDFoAAAAAgE4EtAAAAAAAnQhoAQAAAAA6EdACAAAAAHQioAUAAAAA6ERACwAAAADQiYAWAAAAAKATAS0AAAAAQCcCWgAAAACATgS0AAAAAACdCGgBAAAAADoR0AIAAAAAdCKgBQAAAADoREALAAAAANCJgBYAAAAAoBMBLQAAAABAJwJaAAAAAIBOBLQAAAAAAJ0IaAEAAAAAOhHQAgAAAAB0IqAFAAAAAOhEQAsAAAAA0ImAFgAAAACgEwEtAAAAAEAnAloAAAAAgE4EtAAAAAAAnQhoAQAAAAA6EdACAAAAAHQioAUAAAAA6ERACwAAAADQiYAWAAAAAKATAS0AAAAAQCcCWgAAAACATgS0AAAAAACdCGgBAAAAADoR0AIAAAAAdCKgBQAAAADoREALAAAAANCJgBYAAAAAoBMBLQAAAABAJwJaAAAAAIBOBLQAAAAAAJ0IaAEAAAAAOhHQAgAAAAB0IqAFAAAAAOhEQAsAAAAA0ImAFgAAAACgEwEtAAAAAEAnAloAAAAAgE4EtAAAAAAAnQhoAQAAAAA6EdACAAAAAHQioAUAAAAA6ERACwAAAADQiYAWAAAAAKATAS0AAAAAQCcCWgAAAACATgS0AAAAAACdCGgBAAAAADoR0AIAAAAAdCKgBQAAAADoREALAAAAANCJgBYAAAAAoBMBLQAAAABAJwJaAAAAAIBOBLQAAAAAAJ0IaAEAAAAAOpnduwCWDmf88Ac57P2HZMH8Bdll192y9z779i4JppVZsypnHPnGXHHNTdn1gM9nm80fmUP/4QWZNatyy613ZJ9DvpI/XH597zKhm899/JCce/YZWWW11XPQv3/hXvu+c8IXc/zRn8gHP39yVl71oZ0qBOhHrw3jmzWrcsZn35orrvlTdv3H/8rWW8zNv735RVlu2dn5xW8vy+vfd1zmz1/Qu0zo6oufODS/PvtHWXm11fOuj30+SfLN/z4yP/7uiff01y985euy2eZb9SyTCZhByyLNnz8/hx5ycA7/1GdywtdPyrdO/kYuvOCC3mXBtLLfbk/L+Rddc8/jj++/U/Z873F56h6fyLHfOSfv3GPbjtVBf1s9e/u86T0fvc/266+Zl/P+35lZY+05HaoC6E+vDRPb72XPzPkXzUuSVFU+856XZfd/PiZbvPxDueTKG/KqF27RuULo78nbbp/X/98P32f7Ni96aQ74yNE54CNHC2enOQEti/Src8/JBhtsmPU32CDLLrdcttv+hTnt1FN6lwXTxsPXXjXbPW2THHXi2fdsa2lZdaXlkySrrrx8rrz2pl7lwbSw8WZ/l5VWXvU+2//nyI/lxXv8Q1LVoSqA/vTaML6Hr7Natnv6Y3LU185Mkqy52oq54867c8El1yZJvnfm77Lzto/vWSJMC3M3+9usuMp9e22WHlO2xEFVbZpkpyQPT9KSXJHk662186bqmkyNq+fNy7oPW/eex+vMmZNzzzmnY0UwvXzwLS/MgYd/KyuvuPw92974/hNywodek9vvuCs33XJHtt73Ux0rhOnplz/9YR665tpZ/2827l0KLFX02X9d9Nowvg++bacc+O/fyMorrpAkufbGW7Ls7GXypMesn5+fd1l2edYTsv4cyyPBeH74zeNz5vf/N4941CbZeY/9suIYEyaYHqZkBm1VvSPJfyepJGcmOWv485eq6p0THLdvVZ1dVWcf+ekjpqI0lkBLu8+2MtMJkiQveNomufqGW/KL86+41/Y3/f3Ts8v+n83cXT6Qz5/8sxz25u07VQjT05133J5vffmz2eEV+/QuBZYqS9pnD4/Va09Dem0Y2wue8ZhcfcOf84vfXn6v7bv/8zH5wNt2zA+PenNuvvWO3G39WRjT07fbJf/38GNzwIePyqqrr5mvHv2J3iUxgamaQbt3ks1aa3eN3FhVH0ny6yTvH+ug1toRSY5IktvvHqNToYs5c9bNVVdedc/jq+fNyzrrrNOxIpg+tnrChnnRMzbNdls9OssvNzurrrR8jv/g7tlkw7Vy1m8uS5L8zynn5msf3qNvoTDNXHPl5bn26ivyvrfuniS58dprcujb9sw7PvSZrLb6mp2rg2ltifrsRK89Xem1YWxbPWGjvOiZj812T9s0yy8/O6uutEL+670vz17v+VKes+/hSZJnP+XR2fgRa3euFKanVR+6xj0/b/XcHXPEIQd0rIZFmao1aBckWW+M7Q8b7mMpstnjHp9LLrkol112ae6688586+STsvW2z+pdFkwLB33q25m7ywey6Us+lN3fc2xO+9kfsts7j8mqK62QuRsMQqZnbTk35198dedKYXp5+EaPygc/d3IO+fTxOeTTx+eha62dd3/0KOEsLJo++6+MXhvGdtDh38zcHd6XTXc+NLsf+IWcdvYF2es9X8raq6+cJFlu2WXyT7tvm08f/+POlcL09Kfrr73n53N++oM87BGP7FgNizJVM2jfmuSUqvp9kkuH2x6RZG6S/abomkyR2bNn510HHpQ37PvaLFgwPzvvsmvmzrVeIIxn/vwF+YfDvpovHfKKLFjQcuPNt+V1/3Z877KgqyM/dFB+96tf5M833Zh37bVTXvTy1+bpz92hd1mwNNJn/5XRa8PiedurtskLnvGYzJpV+fRXfpzvn31B75Kgu89+5D254Ff/L3+++cYc9Npd8oKX7Z0Lfv2LXP7H3ydVWXPtdfPS17+9d5lMoFqbmk83VdWsJE/O4OYFleSyJGe11uZP5ngfu4LJWX3rA3uXAEuFk478x94lwFLhWZuuafHLae7+9tmJXhsmY/Wn7d+7BFgqnHDUO3qXAEuF7TZbe9w+e6pm0Ka1tiDJT6bq/AAAMBPpswEA/rpM1Rq0AAAAAAAsgoAWAAAAAKATAS0AAAAAQCcCWgAAAACATgS0AAAAAACdCGgBAAAAADoR0AIAAAAAdCKgBQAAAADoREALAAAAANCJgBYAAAAAoBMBLQAAAABAJwJaAAAAAIBOBLQAAAAAAJ0IaAEAAAAAOhHQAgAAAAB0IqAFAAAAAOhEQAsAAAAA0ImAFgAAAACgEwEtAAAAAEAnAloAAAAAgE4EtAAAAAAAnQhoAQAAAAA6EdACAAAAAHQioAUAAAAA6ERACwAAAADQiYAWAAAAAKATAS0AAAAAQCcCWgAAAACATgS0AAAAAACdCGgBAAAAADoR0AIAAAAAdCKgBQAAAADoREALAAAAANCJgBYAAAAAoBMBLQAAAABAJwJaAAAAAIBOBLQAAAAAAJ0IaAEAAAAAOhHQAgAAAAB0IqAFAAAAAOhEQAsAAAAA0ImAFgAAAACgEwEtAAAAAEAnAloAAAAAgE4EtAAAAAAAnQhoAQAAAAA6EdACAAAAAHQioAUAAAAA6ERACwAAAADQiYAWAAAAAKATAS0AAAAAQCcCWgAAAACATgS0AAAAAACdCGgBAAAAADoR0AIAAAAAdCKgBQA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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# I drop labels since I only want to use features.\n", "features.drop([\"labels\"],axis=1,inplace=True)\n", "\n", "# kmeans\n", "kmeans = KMeans(n_clusters=3)\n", "kmeans_predict = kmeans.fit_predict(features)\n", "\n", "# cross tabulation table for kmeans\n", "df1 = pd.DataFrame({'labels':kmeans_predict,\"species\":df['species']})\n", "ct1 = pd.crosstab(df1['labels'],df1['species'])\n", "\n", "\n", "# hierarchy\n", "hc_cluster = AgglomerativeClustering(n_clusters=3)\n", "hc_predict = hc_cluster.fit_predict(features)\n", "\n", "# cross tabulation table for Hierarchy\n", "df2 = pd.DataFrame({'labels':hc_predict,\"species\":df['species']})\n", "ct2 = pd.crosstab(df2['labels'],df2['species'])\n", "\n", "\n", "plt.figure(figsize=(24,8))\n", "plt.suptitle(\"CROSS TABULATIONS\",fontsize=18)\n", "plt.subplot(1,2,1)\n", "plt.title(\"KMeans\")\n", "sns.heatmap(ct1,annot=True,cbar=False,cmap=\"Blues\")\n", "\n", "\n", "plt.subplot(1,2,2)\n", "plt.title(\"Hierarchy\")\n", "sns.heatmap(ct2,annot=True,cbar=False,cmap=\"Blues\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## As you can see from the above heatmaps, for the KMeans algorithm, Iris Setosa is the easiest to categorize, as all 50 of them are grouped together, for Iris-Versicolor, 2 of them were mislabelled, and finally 14 of Iris-Virginica were mislabelled.\n", "\n", "## Similar results with hierachial, 1 of Versicolor was mislabelled and 15 of Virginica were mislabelled\n", "\n", "# This shows that the model is able to easily tell if a flower is a sestosa, however, it encouters some difficulty when it comes to virginica" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 1 }